A swimmer runs horizontally off a diving board with a speed of 3.32 m/s and hits the water a horizontal distance of 1.78 m from the end of the board. (a) Find the time it takes the swimmer to hit the water. (b) How high above the water was the diving board? (c) Just before the swimmer hits the water, what are his horizontal component of velocity and his vertical component of velocity? (d) What is the magnitude and direction of the swimmer's velocity just before he hits the water?
![A penguin of 7 kg stands at the edge of an ice cliff and dives into the ocean below. The penguin has an initial velocity of 5 ms−1 and at an angle of 60∘ with respect to the horizontal. The cliff is 15 m above the water level. Assume air resistance is negligible and take the value of the acceleration due to gravity as 9.81 ms−1. Calculate: a) The time it takes for the penguin to hit the water. [3 marks] b) The horizontal distance travelled by the penguin before hitting the water. [2 marks] c) The velocity of the penguin just before hitting the water. [3 marks] d) The momentum of the penguin in unit vector notation at the highest point (with respect to the water level) of its projectile. [2 marks] e) Supposed that upon splashing on the water, the magnitude of the vertical component of the velocity found in part (c) above is being reduced by half in 0.2 seconds while the horizontal component remained the same, determine the impulsive force experience by the penguin. [2 marks].](https://www.doubtrix.com/uploads/editor/7669666301lraWjZPvzV.jpg)
